Edit Profile (opens in new tab) Potra, Florian-Alexandru Co-Author Distance Author ID: potra.florian-alexandru Published as: Potra, Florian A.; Potra, F. A.; Potra, Florian; Potra, F.-A.; Potra, Florian-Alexandru; Potra, F.; Potra, Florian Alexandru more...less External Links: MGP · Wikidata · Google Scholar · ResearchGate · dblp Documents Indexed: 135 Publications since 1979, including 1 Book 2 Contributions as Editor Co-Authors: 70 Co-Authors with 99 Joint Publications 2,608 Co-Co-Authors all top 5 Co-Authors 37 single-authored 16 Alefeld, Götz E. 13 Sheng, Rongqin 11 Anitescu, Mihai 9 Ji, Jun 6 Pták, Vlastimil 5 Maggioni, Francesca 5 Shi, Yixun 5 Ye, Yinyu 4 Bertocchi, Marida 4 Lesaja, Goran 4 Petra, Cosmin G. 3 Atkinson, Kendall Eugene 3 Carmichael, Gregory R. 3 Chen, Xiaojun 3 Gavrea, Bogdan I. 3 Liu, Xing 3 Rheinboldt, Werner C. 3 Sandu, Adrian 2 Allevi, Elisabetta 2 Anstreicher, Kurt M. 2 Brixius, Nathan W. 2 Gienger, A. 2 Illg, B. 2 Jay, Laurent-Olivier 2 Tapia, Richard A. 2 Völker, Wolfgang 1 Al-Homidan, Suliman S. 1 Allgower, Eugene L. 1 Alshahrani, Mohammad M. 1 Asadi, Soodabeh 1 Asawakun, Prapasri 1 Bartholomew-Biggs, Michael C. 1 Böhmer, Klaus 1 Bonnans, Joseph Frédéric 1 Caliciotti, Andrea 1 Coroian, Dan I. 1 Cremer, James F. 1 Damian, Valeriu 1 Darvay, Zsolt 1 Deuflhard, Peter 1 Engler, Hans 1 Faccini, Daniel 1 Fasano, Giovanni 1 Gilsinn, David E. 1 González-Lima, María D. 1 Gurtuna, Filiz 1 Han, Weimin 1 Huang, Siming 1 Mahdavi-Amiri, Nezam 1 Nashed, M. Zuhair 1 Pavel, Nicolae H. 1 Petzold, Linda Ruth 1 Qi, Liqun 1 Roma, Massimo 1 Roos, Cornelis 1 Schmidt, Jochen Wilhelm 1 Shen, Zuhe 1 Shevchenko, Olena 1 Simiu, Emil 1 Spedicato, Emilio 1 Stewart, David Edward 1 Stoer, Josef 1 Sun, Defeng 1 Terlaky, Tamás 1 Trinkle, Jeff 1 Vancea, Adrian 1 Venturino, Ezio 1 Wallace, Stein W. 1 Wright, Stephen J. 1 Zhang, Yin all top 5 Serials 15 SIAM Journal on Optimization 12 Journal of Optimization Theory and Applications 9 Optimization Methods & Software 6 Numerische Mathematik 6 SIAM Journal on Numerical Analysis 6 Mathematical Programming. Series A. Series B 5 Numerical Functional Analysis and Optimization 4 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 4 Computational Optimization and Applications 3 Computing 3 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. L’Analyse Numérique et la Théorie de l’Approximation 3 Linear Algebra and its Applications 2 IMA Journal of Numerical Analysis 2 ACM Transactions on Mathematical Software 2 Aplikace Matematiky 2 BIT 2 International Journal for Numerical Methods in Engineering 2 Mathematics of Operations Research 2 Libertas Mathematica 2 Journal of Complexity 2 Journal of Integral Equations and Applications 2 Annals of Operations Research 1 Computer Methods in Applied Mechanics and Engineering 1 Journal of Computational Physics 1 Mathematics of Computation 1 Applied Mathematics and Optimization 1 Časopis Pro Pěstování Matematiky 1 Journal of Computational and Applied Mathematics 1 Mathematica Scandinavica 1 Applied Numerical Mathematics 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Computers & Operations Research 1 European Journal of Operational Research 1 Analele Științifice ale Universității Al. I. Cuza din Iași. Serie Nouă. Matematică 1 Bulletin Mathématique de la Société des Sciences Mathématiques de Roumanie. Nouvelle Série 1 Revue d’Analyse Numérique et de Théorie de l’Approximation 1 SIAM Journal on Scientific Computing 1 Methods and Applications of Analysis 1 Nonlinear Dynamics 1 RIMS Kokyuroku 1 Computational Management Science 1 Preprint. “Babeș-Bolyai” University. Faculty of Mathematics. Research Seminars 1 Beiträge zur Numerischen Mathematik 1 Nonlinear Analysis. Theory, Methods & Applications 1 Research Notes in Mathematics (San Francisco) all top 5 Fields 89 Numerical analysis (65-XX) 70 Operations research, mathematical programming (90-XX) 26 Operator theory (47-XX) 12 Mechanics of particles and systems (70-XX) 9 Ordinary differential equations (34-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Integral equations (45-XX) 3 Approximations and expansions (41-XX) 3 Mechanics of deformable solids (74-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Geophysics (86-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 121 Publications have been cited 2,060 times in 1,381 Documents Cited by ▼ Year ▼ Nondiscrete induction and iterative processes. Zbl 0549.41001 Potra, F.-A.; Pták, V. 312 1984 Projection and iterated projection methods for nonlinear integral equations. Zbl 0655.65146 Atkinson, Kendall E.; Potra, Florian A. 83 1987 Sharp error bounds for Newton’s process. Zbl 0434.65034 Potra, Florian A.; Pták, Vlastimil 61 1980 On the monotone convergence of Newton’s method. Zbl 0572.65034 Potra, F. A.; Rheinboldt, W. C. 59 1986 Interior-point methods. Zbl 0967.65078 Potra, Florian A.; Wright, Stephen J. 57 2000 Sharp error bounds for a class of Newton-like methods. Zbl 0581.47050 Potra, Florian-Alexandru 56 1985 Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005 Anitescu, M.; Potra, F. A. 55 1997 A mesh-independence principle for operator equations and their discretizations. Zbl 0591.65043 Allgower, E. L.; Böhmer, K.; Potra, F. A.; Rheinboldt, W. C. 54 1986 On Q-order and R-order of convergence. Zbl 0663.65049 Potra, F. A. 50 1989 A superlinearly convergent primal-dual infeasible-interior-point algorithm for semidefinite programming. Zbl 0917.65058 Potra, Florian A.; Sheng, Rongqin 42 1998 On an iterative algorithm of order 1.839…for solving nonlinear operator equations. Zbl 0556.65049 Potra, F.-A. 37 1984 An infeasible-interior-point predictor-corrector algorithm for linear programming. Zbl 0846.90071 Potra, Florian A. 36 1996 Secant methods for semismooth equations. Zbl 0914.65051 Potra, Florian A.; Qi, Liqun; Sun, Defeng 34 1998 On some efficient interior point methods for nonlinear convex programming. Zbl 0741.65052 Kortanek, K. O.; Potra, Florian; Ye, Yinyu 32 1991 Time-stepping for three-dimensional rigid body dynamics. Zbl 0967.70003 Anitescu, Mihai; Potra, Florian A.; Stewart, David E. 31 1999 A large-step infeasible-interior-point method for the \(P_ *\)-matrix LCP. Zbl 0872.90100 Potra, Florian A.; Sheng, Rongqin 29 1997 Predictor-corrector algorithm for solving \(P_ *(\kappa)\)-matrix LCP from arbitrary positive starting points. Zbl 0881.90115 Potra, Florian A.; Sheng, Rongqin 29 1997 The discrete Galerkin method for nonlinear integral equations. Zbl 0664.65056 Atkinson, Kendall; Potra, Florian 28 1988 Corrector-predictor methods for sufficient linear complementarity problems. Zbl 1242.90260 Gurtuna, Filiz; Petra, Cosmin; Potra, Florian A.; Shevchenko, Olena; Vancea, Adrian 28 2011 Interior-point methods for nonlinear complementarity problems. Zbl 0851.90122 Potra, F. A.; Ye, Y. 27 1996 Some efficient methods for enclosing simple zeros of nonlinear equations. Zbl 0756.65070 Alefeld, Götz E.; Potra, Florian A. 25 1992 Interior point methods for sufficient horizontal LCP in a wide neighborhood of the central path with best known iteration complexity. Zbl 1291.90314 Potra, Florian A. 25 2014 A superlinearly convergent predictor-corrector method for degenerate LCP in a wide neighborhood of the central path with \(O(\sqrt nL)\)-iteration complexity. Zbl 1116.90101 Potra, Florian A. 23 2004 Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056 Deuflhard, Peter; Potra, Florian A. 23 1992 On homogeneous interior-point algorithms for semidefinite programming. Zbl 0904.90118 Potra, Florian A.; Sheng, Rongqin 22 1998 Predictor-corrector method for linear complementarity problems with polynomial complexity and superlinear convergence. Zbl 0824.90129 Ji, J.; Potra, F. A.; Huang, S. 21 1995 Weighted complementarity problems – A new paradigm for computing equilibria. Zbl 1273.90217 Potra, Florian A. 21 2012 A quadratically convergent predictor-corrector method for solving linear programs from infeasible starting points. Zbl 0832.90077 Potra, Florian A. 20 1994 Predictor-corrector methods for sufficient linear complementarity problems in a wide neighborhood of the central path. Zbl 1087.90078 Potra, Florian A.; Liu, Xing 20 2005 On the local convergence of a predictor-corrector method for semidefinite programming. Zbl 0959.65076 Ji, Jun; Potra, Florian A.; Sheng, Rongqin 19 1999 Corrector-predictor methods for sufficient linear complementarity problems in a wide neighborhood of the central path. Zbl 1128.90058 Liu, Xing; Potra, Florian A. 19 2006 Efficent line search algorithm for unconstrained optimization. Zbl 0831.90106 Potra, F. A.; Shi, Y. 19 1995 An \(O(nL)\) infeasible-interior-point algorithm for LCP with quadratic convergence. Zbl 0848.90113 Potra, Florian A. 19 1996 A time-stepping method for stiff multibody dynamics with contact and friction. Zbl 1027.70001 Anitescu, Mihai; Potra, Florian A. 18 2002 Equivalence between different formulations of the linear complementarity problem. Zbl 0871.90095 Anitescu, Mihai; Lesaja, Goran; Potra, Florian A. 18 1997 A characterization of the behavior of the Anderson acceleration on linear problems. Zbl 1263.65036 Potra, Florian A.; Engler, Hans 18 2013 Superlinear convergence of interior-point algorithms for semidefinite programming. Zbl 0911.90255 Potra, F. A.; Sheng, R. 17 1998 On the convergence of a class of Newton-like methods. Zbl 0507.65020 Potra, F.-A. 17 1982 On enclosing simple roots of nonlinear equations. Zbl 0798.65062 Alefeld, G.; Potra, F. A.; Shi, Yixun 15 1993 On the aposteriori error estimates for Newton’s method. Zbl 0556.65048 Potra, Florian-Alexandru 15 1984 Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058 Potra, Florian A.; Rheinboldt, Werner C. 15 1991 On a class of superlinearly convergent polynomial time interior point methods for sufficient LCP. Zbl 1213.90245 Potra, Florian A.; Stoer, Josef 15 2009 A linearly implicit trapezoidal method for integrating stiff multibody dynamics with contact, joints, and friction. Zbl 1110.70303 Potra, Florian A.; Anitescu, Mihai; Gavrea, Bogdan; Trinkle, Jeff 14 2006 The Kantorovich theorem and interior point methods. Zbl 1059.90137 Potra, Florian A. 14 2005 Sufficient weighted complementarity problems. Zbl 1369.90176 Potra, Florian A. 14 2016 A characterization of the divided differences of an operator which can be represented by Riemann integrals. Zbl 0523.65043 Potra, Florian-Alexandru 14 1980 An error analysis for the secant method. Zbl 0465.65033 Potra, Florian A. 14 1982 An application of the induction method of V. Ptak to the study of regula falsi. Zbl 0486.65038 Potra, Florian Alexandru 14 1981 Algorithm 748: Enclosing zeros of continuous functions. Zbl 0888.65059 Alefeld, G. E.; Potra, F. A.; Shi, Y. 13 1995 Efficient numerical validation of solutions of nonlinear systems. Zbl 0796.65068 Alefeld, G.; Gienger, A.; Potra, F. 12 1994 Superlinearly convergent infeasible-interior-point algorithm for degenerate LCP. Zbl 0907.90261 Potra, F. A.; Sheng, R. 12 1998 \(Q\)-superlinear convergence of the iterates in primal-dual interior-point methods. Zbl 1051.90027 Potra, Florian A. 12 2001 The Mizuno-Todd-Ye algorithm in a larger neighborhood of the central path. Zbl 1058.90076 Potra, Florian A. 12 2002 On a class of modified Newton processes. Zbl 0472.65049 Potra, F.-A.; Pták, Vlastimil 12 1980 Stochastic second-order cone programming in mobile ad hoc networks. Zbl 1177.90396 Maggioni, F.; Potra, F. A.; Bertocchi, M. I.; Allevi, E. 12 2009 On the superlinear convergence of interior-point algorithms for a general class of problems. Zbl 0781.90074 Zhang, Yin; Tapia, Richard; Potra, Florian 11 1993 A quadratically convergent polynomial algorithm for solving entropy optimization problems. Zbl 0788.65071 Potra, Florian; Ye, Yinyu 11 1993 On a modified secant method. Zbl 0445.65055 Potra, F. A. 11 1979 Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072 Alefeld, G. E.; Chen, X.; Potra, F. A. 11 1999 An infeasible-interior-point predictor-corrector algorithm for the \(P_ *\)-geometric LCP. Zbl 0884.90140 Anitescu, M.; Lesaja, G.; Potra, F. A. 10 1997 SDPHA: A MATLAB implementation of homogeneous interior-point algorithms for semidefinite programming. Zbl 0973.90525 Brixius, Nathan; Potra, Florian A.; Sheng, Rongqin 10 1999 Corrector-predictor methods for monotone linear complementarity problems in a wide neighborhood of the central path. Zbl 1156.90026 Potra, Florian A. 10 2008 On the existence theorems of Kantorovich, Moore and Miranda. Zbl 0995.65060 Alefeld, G. E.; Potra, F. A.; Shen, Z. 9 2001 Probabilistic analysis of an infeasible-interior-point algorithm for linear programming. Zbl 0977.90019 Anstreicher, Kurt M.; Ji, Jun; Potra, Florian A.; Ye, Yinyu 9 1999 A full-Newton step interior-point method for monotone weighted linear complementarity problems. Zbl 1441.90163 Asadi, Soodabeh; Darvay, Zsolt; Lesaja, Goran; Mahdavi-Amiri, Nezam; Potra, Florian 9 2020 A generalization of regula falsi. Zbl 0478.65039 Potra, Florian A.; Pták, Vlastimil 9 1981 Efficient implementation of fully implicit methods for atmospheric chemical kinetics. Zbl 0864.65047 Sandu, A.; Potra, F. A.; Carmichael, G. R.; Damian, V. 8 1996 Improved quasi-steady-state-approximation methods for atmospheric chemistry integration. Zbl 0869.65045 Jay, L. O.; Sandu, A.; Potra, F. A.; Carmichael, G. R. 8 1997 On the discrete Galerkin method for Fredholm integral equations of the second kind. Zbl 0678.65093 Atkinson, K. E.; Potra, F. A. 8 1989 Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046 Alefeld, G. E.; Chen, X.; Potra, F. A. 8 2002 Newton-like methods with monotone convergence for solving nonlinear operator equations. Zbl 0633.65050 Potra, Florian A. 8 1987 An infeasible interior point method for linear complementarity problems over symmetric cones. Zbl 1183.90424 Potra, Florian A. 8 2009 A new class of interval methods with higher order of convergence. Zbl 0675.65041 Alefeld, G.; Potra, F. 7 1989 Average performance of a self-dual interior point algorithm for linear programming. Zbl 0968.90519 Anstreicher, Kurt M.; Ji, Jun; Potra, Florian A.; Ye, Yinyu 7 1993 The rate of convergence of a modified Newton’s process. Zbl 0486.65039 Potra, F. A. 7 1981 A scenario-based framework for supply planning under uncertainty: stochastic programming versus robust optimization approaches. Zbl 1397.90217 Maggioni, Francesca; Potra, Florian A.; Bertocchi, Marida 7 2017 Superlinear convergence of a predictor-corrector method for semidefinite programming without shrinking central path neighborhood. Zbl 0999.90025 Potra, Florian A.; Sheng, Rongqin 6 2000 A path following method for LCP with superlinearly convergent iteration sequence. Zbl 0906.90163 Potra, Florian A.; Sheng, Rongqin 6 1998 A quadratically convergent infeasible-interior-point algorithm for LCP with polynomial complexity. Zbl 0878.90094 Sheng, Rongqin; Potra, Florian A. 6 1997 On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117 Bonnans, J. Frédéric; Potra, Florian A. 6 1997 On the existence of solutions to complementarity formulations of contact problems with friction. Zbl 0887.70009 Anitescu, Mihai; Cremer, James F.; Potra, Florian A. 6 1997 On two higher order enclosing methods of J. W. Schmidt. Zbl 0657.65074 Alefeld, G.; Potra, F. A. 6 1988 Nondiscrete induction and a double step secant method. Zbl 0423.65034 Potra, F.-A.; Pták, Vlastimil 6 1980 Primal-dual affine scaling interior point methods for linear complementarity problems. Zbl 1171.90017 Potra, Florian A. 6 2008 Convergence of a class of semi-implicit time-stepping schemes for nonsmooth rigid multibody dynamics. Zbl 1162.70003 Gavrea, Bogdan I.; Anitescu, Mihai; Potra, Florian A. 6 2008 Integral operators and delay differential equations. Zbl 1138.34329 Gilsinn, David E.; Potra, Florian A. 6 2006 ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002 Petzold, Linda R.; Potra, Florian A. 6 1992 On effectively computing the analytic center of the solution set by primal-dual interior-point methods. Zbl 0913.65049 González-Lima, María D.; Tapia, Richard A.; Potra, Florian A. 5 1998 Monotone iterative methods for nonlinear operator equations. Zbl 0636.65056 Potra, Florian A. 5 1987 Nondiscrete induction and an inversion-free modification of Newton’s method. Zbl 0563.65040 Potra, Florian A.; Pták, Vlastimil 5 1983 Convergence acceleration for some rootfinding methods. Zbl 0811.65037 Han, W.; Potra, F. A. 4 1993 Algorithm 748; enclosing zeros of continuous functions. Zbl 0872.65041 Alefeld, G. E.; Potra, F. A.; Shi, Yixun 4 1995 Adaptive full Newton-step infeasible interior-point method for sufficient horizontal LCP. Zbl 1429.90098 Lesaja, Goran; Potra, Florian 4 2019 A computational study of the use of an optimization-based method for simulating large multibody systems. Zbl 1237.90280 Petra, Cosmin; Gavrea, Bogdan; Anitescu, Mihai; Potra, Florian 3 2009 Implementation of linear multistep methods for solving constrained equations of motion. Zbl 0781.65068 Potra, Florian A. 3 1993 Low-order methods for Cauchy principal value integrals with endpoint singularities. Zbl 0803.65018 Potra, F. A.; Venturino, E. 3 1994 Outer inverses and multi-body system simulation. Zbl 0879.65048 Anitescu, Mihai; Coroian, Dan I.; Nashed, M. Zuhair; Potra, Florian A. 3 1996 On a monotone Newton-like method. Zbl 0627.65050 Potra, F. A. 3 1987 On a class of iterative procedures with monotone convergence. Zbl 0572.65044 Potra, F.-A.; Schmidt, Jochen W. 3 1983 An infeasible-interior-point method for the \(P_*(\kappa)\)-matrix LCP. Zbl 1025.90031 Ji, Jun; Potra, Florian A. 2 1998 Robust and distributionally robust optimization models for linear support vector machine. Zbl 1520.68141 Faccini, Daniel; Maggioni, Francesca; Potra, Florian A. 2 2022 A full-Newton step interior-point method for monotone weighted linear complementarity problems. Zbl 1441.90163 Asadi, Soodabeh; Darvay, Zsolt; Lesaja, Goran; Mahdavi-Amiri, Nezam; Potra, Florian 9 2020 Issues on the use of a modified bunch and Kaufman decomposition for large scale Newton’s equation. Zbl 1466.90050 Caliciotti, Andrea; Fasano, Giovanni; Potra, Florian; Roma, Massimo 1 2020 Adaptive full Newton-step infeasible interior-point method for sufficient horizontal LCP. Zbl 1429.90098 Lesaja, Goran; Potra, Florian 4 2019 A homogeneous model for monotone mixed horizontal linear complementarity problems. Zbl 1417.90140 Petra, Cosmin G.; Potra, Florian A. 1 2019 Equilibria and weighted complementarity problems. Zbl 1428.90166 Potra, Florian A. 1 2018 A scenario-based framework for supply planning under uncertainty: stochastic programming versus robust optimization approaches. Zbl 1397.90217 Maggioni, Francesca; Potra, Florian A.; Bertocchi, Marida 7 2017 A superquadratic variant of Newton’s method. Zbl 1478.65055 Potra, Florian A. 2 2017 Sufficient weighted complementarity problems. Zbl 1369.90176 Potra, Florian A. 14 2016 Interior point methods for sufficient horizontal LCP in a wide neighborhood of the central path with best known iteration complexity. Zbl 1291.90314 Potra, Florian A. 25 2014 A characterization of the behavior of the Anderson acceleration on linear problems. Zbl 1263.65036 Potra, Florian A.; Engler, Hans 18 2013 Stochastic second-order cone programming in mobile ad-hoc networks: sensitivity to input parameters. Zbl 1302.90143 Maggioni, Francesca; Bertocchi, Marida; Allevi, Elisabetta; Potra, Florian A.; Wallace, Stein W. 1 2013 Optimal kinematics of a looped filament. Zbl 1280.90119 Maggioni, Francesca; Potra, Florian A.; Bertocchi, Marida 1 2013 Weighted complementarity problems – A new paradigm for computing equilibria. Zbl 1273.90217 Potra, Florian A. 21 2012 Corrector-predictor methods for sufficient linear complementarity problems. Zbl 1242.90260 Gurtuna, Filiz; Petra, Cosmin; Potra, Florian A.; Shevchenko, Olena; Vancea, Adrian 28 2011 Minimal condition number for positive definite Hankel matrices using semidefinite programming. Zbl 1209.65050 Al-Homidan, Suliman; Alshahrani, Mohammad M.; Petra, Cosmin G.; Potra, Florian A. 1 2010 Multihazard design: Structural optimization approach. Zbl 1183.90397 Potra, F. A.; Simiu, E. 1 2010 On a class of superlinearly convergent polynomial time interior point methods for sufficient LCP. Zbl 1213.90245 Potra, Florian A.; Stoer, Josef 15 2009 Stochastic second-order cone programming in mobile ad hoc networks. Zbl 1177.90396 Maggioni, F.; Potra, F. A.; Bertocchi, M. I.; Allevi, E. 12 2009 An infeasible interior point method for linear complementarity problems over symmetric cones. Zbl 1183.90424 Potra, Florian A. 8 2009 A computational study of the use of an optimization-based method for simulating large multibody systems. Zbl 1237.90280 Petra, Cosmin; Gavrea, Bogdan; Anitescu, Mihai; Potra, Florian 3 2009 Corrector-predictor methods for monotone linear complementarity problems in a wide neighborhood of the central path. Zbl 1156.90026 Potra, Florian A. 10 2008 Primal-dual affine scaling interior point methods for linear complementarity problems. Zbl 1171.90017 Potra, Florian A. 6 2008 Convergence of a class of semi-implicit time-stepping schemes for nonsmooth rigid multibody dynamics. Zbl 1162.70003 Gavrea, Bogdan I.; Anitescu, Mihai; Potra, Florian A. 6 2008 Corrector-predictor methods for sufficient linear complementarity problems in a wide neighborhood of the central path. Zbl 1128.90058 Liu, Xing; Potra, Florian A. 19 2006 A linearly implicit trapezoidal method for integrating stiff multibody dynamics with contact, joints, and friction. Zbl 1110.70303 Potra, Florian A.; Anitescu, Mihai; Gavrea, Bogdan; Trinkle, Jeff 14 2006 Integral operators and delay differential equations. Zbl 1138.34329 Gilsinn, David E.; Potra, Florian A. 6 2006 Predictor-corrector methods for sufficient linear complementarity problems in a wide neighborhood of the central path. Zbl 1087.90078 Potra, Florian A.; Liu, Xing 20 2005 The Kantorovich theorem and interior point methods. Zbl 1059.90137 Potra, Florian A. 14 2005 Flow invariance and nonlinear optimization problems via first and second order generalized tangential cones. Zbl 1164.90419 Pavel, N. H.; Potra, F. 1 2005 A superlinearly convergent predictor-corrector method for degenerate LCP in a wide neighborhood of the central path with \(O(\sqrt nL)\)-iteration complexity. Zbl 1116.90101 Potra, Florian A. 23 2004 Subsequent convergence of iterative methods with applications to real-time model-predictive control. Zbl 1048.93031 Das, I.; Potra, F. A. 1 2003 A time-stepping method for stiff multibody dynamics with contact and friction. Zbl 1027.70001 Anitescu, Mihai; Potra, Florian A. 18 2002 The Mizuno-Todd-Ye algorithm in a larger neighborhood of the central path. Zbl 1058.90076 Potra, Florian A. 12 2002 Numerical validation of solutions of complementarity problems: the nonlinear case. Zbl 1040.65046 Alefeld, G. E.; Chen, X.; Potra, F. A. 8 2002 \(Q\)-superlinear convergence of the iterates in primal-dual interior-point methods. Zbl 1051.90027 Potra, Florian A. 12 2001 On the existence theorems of Kantorovich, Moore and Miranda. Zbl 0995.65060 Alefeld, G. E.; Potra, F. A.; Shen, Z. 9 2001 Interior-point methods. Zbl 0967.65078 Potra, Florian A.; Wright, Stephen J. 57 2000 Superlinear convergence of a predictor-corrector method for semidefinite programming without shrinking central path neighborhood. Zbl 0999.90025 Potra, Florian A.; Sheng, Rongqin 6 2000 Time-stepping for three-dimensional rigid body dynamics. Zbl 0967.70003 Anitescu, Mihai; Potra, Florian A.; Stewart, David E. 31 1999 On the local convergence of a predictor-corrector method for semidefinite programming. Zbl 0959.65076 Ji, Jun; Potra, Florian A.; Sheng, Rongqin 19 1999 Numerical validation of solutions of linear complementarity problems. Zbl 0933.65072 Alefeld, G. E.; Chen, X.; Potra, F. A. 11 1999 SDPHA: A MATLAB implementation of homogeneous interior-point algorithms for semidefinite programming. Zbl 0973.90525 Brixius, Nathan; Potra, Florian A.; Sheng, Rongqin 10 1999 Probabilistic analysis of an infeasible-interior-point algorithm for linear programming. Zbl 0977.90019 Anstreicher, Kurt M.; Ji, Jun; Potra, Florian A.; Ye, Yinyu 9 1999 Nonsymmetric search directions for semidefinite programming. Zbl 0960.65073 Brixius, Nathan; Potra, Florian A.; Sheng, Rongqin 2 1999 On a general class of interior-point algorithms for semidefinite programming with polynomial complexity and superlinear convergence. Zbl 0969.90066 Ji, Jun; Potra, Florian A.; Sheng, Rongqin 2 1999 A superlinearly convergent primal-dual infeasible-interior-point algorithm for semidefinite programming. Zbl 0917.65058 Potra, Florian A.; Sheng, Rongqin 42 1998 Secant methods for semismooth equations. Zbl 0914.65051 Potra, Florian A.; Qi, Liqun; Sun, Defeng 34 1998 On homogeneous interior-point algorithms for semidefinite programming. Zbl 0904.90118 Potra, Florian A.; Sheng, Rongqin 22 1998 Superlinear convergence of interior-point algorithms for semidefinite programming. Zbl 0911.90255 Potra, F. A.; Sheng, R. 17 1998 Superlinearly convergent infeasible-interior-point algorithm for degenerate LCP. Zbl 0907.90261 Potra, F. A.; Sheng, R. 12 1998 A path following method for LCP with superlinearly convergent iteration sequence. Zbl 0906.90163 Potra, Florian A.; Sheng, Rongqin 6 1998 On effectively computing the analytic center of the solution set by primal-dual interior-point methods. Zbl 0913.65049 González-Lima, María D.; Tapia, Richard A.; Potra, Florian A. 5 1998 An infeasible-interior-point method for the \(P_*(\kappa)\)-matrix LCP. Zbl 1025.90031 Ji, Jun; Potra, Florian A. 2 1998 Modifications of the interval-Newton-method with improved asymptotic efficiency. Zbl 0915.65040 Alefeld, G. E.; Potra, F. A.; Völker, W. 2 1998 Formulating dynamic multi-rigid-body contact problems with friction as solvable linear complementarity problems. Zbl 0899.70005 Anitescu, M.; Potra, F. A. 55 1997 A large-step infeasible-interior-point method for the \(P_ *\)-matrix LCP. Zbl 0872.90100 Potra, Florian A.; Sheng, Rongqin 29 1997 Predictor-corrector algorithm for solving \(P_ *(\kappa)\)-matrix LCP from arbitrary positive starting points. Zbl 0881.90115 Potra, Florian A.; Sheng, Rongqin 29 1997 Equivalence between different formulations of the linear complementarity problem. Zbl 0871.90095 Anitescu, Mihai; Lesaja, Goran; Potra, Florian A. 18 1997 An infeasible-interior-point predictor-corrector algorithm for the \(P_ *\)-geometric LCP. Zbl 0884.90140 Anitescu, M.; Lesaja, G.; Potra, F. A. 10 1997 Improved quasi-steady-state-approximation methods for atmospheric chemistry integration. Zbl 0869.65045 Jay, L. O.; Sandu, A.; Potra, F. A.; Carmichael, G. R. 8 1997 A quadratically convergent infeasible-interior-point algorithm for LCP with polynomial complexity. Zbl 0878.90094 Sheng, Rongqin; Potra, Florian A. 6 1997 On the convergence of the iteration sequence of infeasible path following algorithms for linear complementarity problems. Zbl 0883.90117 Bonnans, J. Frédéric; Potra, Florian A. 6 1997 On the existence of solutions to complementarity formulations of contact problems with friction. Zbl 0887.70009 Anitescu, Mihai; Cremer, James F.; Potra, Florian A. 6 1997 An infeasible-interior-point predictor-corrector algorithm for linear programming. Zbl 0846.90071 Potra, Florian A. 36 1996 Interior-point methods for nonlinear complementarity problems. Zbl 0851.90122 Potra, F. A.; Ye, Y. 27 1996 An \(O(nL)\) infeasible-interior-point algorithm for LCP with quadratic convergence. Zbl 0848.90113 Potra, Florian A. 19 1996 Efficient implementation of fully implicit methods for atmospheric chemical kinetics. Zbl 0864.65047 Sandu, A.; Potra, F. A.; Carmichael, G. R.; Damian, V. 8 1996 Outer inverses and multi-body system simulation. Zbl 0879.65048 Anitescu, Mihai; Coroian, Dan I.; Nashed, M. Zuhair; Potra, Florian A. 3 1996 Tapia indicators and finite termination of infeasible-interior-point methods for degenerate LCP. Zbl 0868.90121 Ji, Jun; Potra, Florian A. 2 1996 A note on Brent’s rootfinding method. Zbl 0900.65149 Potra, F. A.; Shi, Y. 1 1996 Effective improvements of the interval-Newton-method. Zbl 0848.65039 Alefeld, Götz E.; Potra, Florian A.; Völker, Wolfgang 1 1996 Predictor-corrector method for linear complementarity problems with polynomial complexity and superlinear convergence. Zbl 0824.90129 Ji, J.; Potra, F. A.; Huang, S. 21 1995 Efficent line search algorithm for unconstrained optimization. Zbl 0831.90106 Potra, F. A.; Shi, Y. 19 1995 Algorithm 748: Enclosing zeros of continuous functions. Zbl 0888.65059 Alefeld, G. E.; Potra, F. A.; Shi, Y. 13 1995 Algorithm 748; enclosing zeros of continuous functions. Zbl 0872.65041 Alefeld, G. E.; Potra, F. A.; Shi, Yixun 4 1995 A quadratically convergent predictor-corrector method for solving linear programs from infeasible starting points. Zbl 0832.90077 Potra, Florian A. 20 1994 Efficient numerical validation of solutions of nonlinear systems. Zbl 0796.65068 Alefeld, G.; Gienger, A.; Potra, F. 12 1994 Low-order methods for Cauchy principal value integrals with endpoint singularities. Zbl 0803.65018 Potra, F. A.; Venturino, E. 3 1994 Numerical methods for differential-algebraic equations with application to real-time simulation of mechanical systems. Zbl 0805.34012 Potra, F. A. 1 1994 Efficient hybrid algorithms for finding zeros of convex functions. Zbl 0807.65051 Potra, Florian A. 1 1994 On enclosing simple roots of nonlinear equations. Zbl 0798.65062 Alefeld, G.; Potra, F. A.; Shi, Yixun 15 1993 On the superlinear convergence of interior-point algorithms for a general class of problems. Zbl 0781.90074 Zhang, Yin; Tapia, Richard; Potra, Florian 11 1993 A quadratically convergent polynomial algorithm for solving entropy optimization problems. Zbl 0788.65071 Potra, Florian; Ye, Yinyu 11 1993 Average performance of a self-dual interior point algorithm for linear programming. Zbl 0968.90519 Anstreicher, Kurt M.; Ji, Jun; Potra, Florian A.; Ye, Yinyu 7 1993 Convergence acceleration for some rootfinding methods. Zbl 0811.65037 Han, W.; Potra, F. A. 4 1993 Implementation of linear multistep methods for solving constrained equations of motion. Zbl 0781.65068 Potra, Florian A. 3 1993 Some efficient methods for enclosing simple zeros of nonlinear equations. Zbl 0756.65070 Alefeld, Götz E.; Potra, Florian A. 25 1992 Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem. Zbl 0760.65056 Deuflhard, Peter; Potra, Florian A. 23 1992 ODAE methods for the numerical solution of Euler-Lagrange equations. Zbl 0770.70002 Petzold, Linda R.; Potra, Florian A. 6 1992 On some efficient interior point methods for nonlinear convex programming. Zbl 0741.65052 Kortanek, K. O.; Potra, Florian; Ye, Yinyu 32 1991 Differential-geometric techniques for solving differential algebraic equations. Zbl 0763.65058 Potra, Florian A.; Rheinboldt, Werner C. 15 1991 On Q-order and R-order of convergence. Zbl 0663.65049 Potra, F. A. 50 1989 On the discrete Galerkin method for Fredholm integral equations of the second kind. Zbl 0678.65093 Atkinson, K. E.; Potra, F. A. 8 1989 A new class of interval methods with higher order of convergence. Zbl 0675.65041 Alefeld, G.; Potra, F. 7 1989 The discrete Galerkin method for nonlinear integral equations. Zbl 0664.65056 Atkinson, Kendall; Potra, Florian 28 1988 On two higher order enclosing methods of J. W. Schmidt. Zbl 0657.65074 Alefeld, G.; Potra, F. A. 6 1988 Parallel line search algorithms for solving convex unconstrained minimization problems. Zbl 0657.90078 Asawakun, Prapasri; Potra, Florian A. 1 1988 Projection and iterated projection methods for nonlinear integral equations. Zbl 0655.65146 Atkinson, Kendall E.; Potra, Florian A. 83 1987 Newton-like methods with monotone convergence for solving nonlinear operator equations. Zbl 0633.65050 Potra, Florian A. 8 1987 ...and 21 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,423 Authors 195 Argyros, Ioannis Konstantinos 44 Hernández, Miguel Ángel 42 Potra, Florian-Alexandru 41 Ezquerro, José Antonio 35 George, Santhosh 33 Hilout, Saïd 30 Kheirfam, Behrouz 30 Magreñán, Ángel Alberto 24 Grau-Sánchez, Miquel 23 Amat Plata, Sergio 21 Hernández-Verón, Miguel Ángel 20 Busquier, Sonia 19 Nelakanti, Gnaneshwar 19 Sharma, Janak Raj 18 Rubio, María Jesús 17 Darvay, Zsolt 15 Noguera, Miquel 12 Chun, Changbum 12 Kelley, Carl T. 12 Romero, Natalia 12 Wang, Guoqiang 11 Alefeld, Götz E. 11 Behl, Ramandeep 11 Liu, Hongwei 11 Roos, Cornelis 10 Anitescu, Mihai 10 Asadi, Soodabeh 10 Kanwar, Vinay 10 Parhi, Sanjaya Kumar 10 Terlaky, Tamás 9 Allouch, Chafik 9 Gutiérrez, José Manuel 9 Lesaja, Goran 9 Liu, Changhe 9 Mansouri, Hossein 9 Sbibih, Driss 9 Shen, Weiping 9 Tahrichi, Mohamed 9 Torregrosa Sanchez, Juan Ramón 9 Yamamoto, Tetsuro 9 Ye, Yinyu 8 Bai, Yanqin 8 Chen, Xiaojun 8 Cordero, Alicia 8 Das, Payel 8 González, Daniel 8 Kou, Jisheng 8 Sicilia, Juan Antonio 8 Tang, Jingyong 8 Tasora, Alessandro 8 Zangiabadi, Maryam 7 Candela, Vicente F. 7 Cătinaş, Emil 7 Glocker, Christoph 7 Grau, Àngela 7 Kojima, Masakazu 7 Li, Chong 7 Martínez, Eulalia 7 Moret, Igor 7 Rigó, Petra Renáta 7 Sharma, Debasis 7 Wright, Stephen J. 7 Yu, Bo 6 Alzalg, Baha M. 6 Anastassiou, George Angelos 6 Brogliato, Bernard 6 Chakraborty, Samiran 6 Chi, Xiaoni 6 Illés, Tibor 6 Kansal, Munish 6 Kulkarni, Rekha P. 6 Mizuno, Shinji 6 Monteiro, Renato D. C. 6 Motsa, Sandile S. 6 Ren, Hongmin 6 Rheinboldt, Werner C. 6 Shakhno, Stepan Mykhaĭlovych 6 Su, Menglong 6 Teo, Kok Lay 6 Yang, Ximei 5 Arora, Himani 5 Assari, Pouria 5 Boyd, Stephen Poythress 5 Campbell, Stephen LaVern 5 Chen, Jinhai 5 Gupta, Dharmendra Kumar 5 Huang, Nan-Jing 5 Hueso, José Luis 5 Li, Yitian 5 Lin, Zhenghua 5 Maleknejad, Khosrow 5 Mărușter, Ștefan 5 Pang, Jong-Shi 5 Salahi, Maziar 5 Sarría, Ínigo 5 Shi, Yixun 5 Simeon, Bernd 5 Śmietański, Marek J. 5 Stanimirović, Predrag S. 5 Wang, Song ...and 1,323 more Authors all top 5 Cited in 247 Serials 116 Applied Mathematics and Computation 112 Journal of Computational and Applied Mathematics 75 Journal of Optimization Theory and Applications 53 Mathematical Programming. Series A. 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